Hi Gregory,

An ingenious idea! I guess it would work but I'd be a little bit concerned 
about the alignment of the predicted surface. For now, I'll try Facu's method 
and see how that goes.

Best,
Martin


On 29 Jan 2010, at 08:11 , Greg Snow wrote:

> Another approach that might be simpler (or it may oversimplify and not give 
> good results) is to compute the distances between your points as the fish 
> swim, then use multi dimensional scaling (cmdscale function or others) to get 
> a set of points that represent those distances and do the rest of your 
> analysis on the transformed points.
> 
> 
> -- 
> Gregory (Greg) L. Snow Ph.D.
> Statistical Data Center
> Intermountain Healthcare
> greg.s...@imail.org
> 801.408.8111
> 
> 
>> -----Original Message-----
>> From: r-sig-geo-boun...@stat.math.ethz.ch [mailto:r-sig-geo-
>> boun...@stat.math.ethz.ch] On Behalf Of Martin Renner
>> Sent: Wednesday, January 27, 2010 1:07 AM
>> To: r-sig-geo@stat.math.ethz.ch
>> Subject: [R-sig-Geo] kriging as fish swim, not as crows fly
>> 
>> Hi All,
>> 
>> I want to kirg fish and seabird densities within an estuary which has
>> several arms. Since neither organisms cross land, the appropriate
>> distances would not be euclidian but over-water (as fish swim). There
>> are several papers, describing this problem and how to deal with it
>> (see below), but I have not found an easily accessible implementation.
>> Is anybody aware of a solution in R?
>> 
>> Best,
>> Martin
>> 
>> 
>> 
>> @article{Rathbun:1998aa,
>>      Author = {Rathbun, Stephen L.},
>>      Journal = {Environmetrics},
>>      Number = {2},
>>      Pages = {109--129},
>>      Title = {Spatial modelling in irregularly shaped regions: kriging
>> estuaries},
>>      Volume = {9},
>>      Year = {1998}}
>> 
>> @article{Little:1997aa,
>>      Author = {Little, Laurie S. and Edwards, Don and Porter, Dwayne
>> E.},
>>      Journal = {Journal of Experimental Marine Biology and Ecology},
>>      Number = {1},
>>      Pages = {1--11},
>>      Title = {Kriging in estuaries: as the crow flies, or as the fish
>> swims?},
>>      Volume = {213},
>>      Year = {1997}}
>> 
>> 
>> 
>> 
>> Martin Renner
>> US Geological Survey
>> Alaska Science Center
>> 
>> _______________________________________________
>> R-sig-Geo mailing list
>> R-sig-Geo@stat.math.ethz.ch
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